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Finding the Third Proportional to 42,449 and 91,162

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Solution

The third proportional to 42,449 and 91,162 is: 195,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,449 : 91,162 = 91,162 : x
  2. Step 2: Convert to fraction form
    42,449/91,162 = 91,162/x
  3. Step 3: Cross multiply
    42,449x = 91,162 × 91,162
  4. Step 4: Simplify right side
    42,449x = 8,310,510,244
  5. Step 5: Solve for x
    x = 8,310,510,244/42,449
  6. Step 6: Final answer
    x = 195,776.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.